28 citations · 58 across the 44 of their papers we have counts for
53 papers
Symmetric ideals of generalized summing multilinear operators
Geraldo Botelho, Ariel S. Santiago
Let be classes of Banach spaces-valued sequences. An -linear operator between Banach spaces belongs to the ideal of -summing multi…
Grothendieck's compactness principle for the absolute weak topology
Geraldo Botelho, José Lucas P. Luiz, Vinicius C. C. Miranda
We prove the following results: (i) Every absolutely weakly compact set in a Banach lattice is absolutely weakly sequentially compact. (ii) The converse of (i) holds if is sepa…
Aron-Berner extensions of almost Dunford-Pettis multilinear operators
Geraldo Botelho, Luis Alberto Garcia
We prove several results establishing conditions on the Banach lattices E_1,..., E_m and F so that the Aron-Berner extensions of (separately) almost Dunford-Pettis m-linear operato…
Operators whose adjoints and second adjoints are almost Dunford-Pettis
Geraldo Botelho, Luis Alberto Garcia
First we characterize the Banach lattices E whose biduals have the positive Schur property by means of second adjoints of operators on E being almost Dunford-Pettis. Next we extend…
Maximal ideals of generalized summing linear operators
Geraldo Botelho, Jamilson R. Campos, Lucas Nascimento
We prove when a Banach ideal of linear operators defined, or characterized, by the transformation of vector-valued sequences is maximal. Known results are recovered as particular c…
Order continuity of Arens extensions of regular multilinear operators
Geraldo Botelho, Luis Alberto Garcia
First we give a counterexample showing that recent results on separate order continuity of Arens extensions of multilinear operators cannot be improved to get separate order contin…